\(\sqrt{2}\) के प्रमाण में \(x^2=2y^2\) से सीधे (y) सम लिखने का मूल्यांकन क्या है?

In the proof of \(\sqrt{2}\), what is the evaluation of directly writing (y) is even from \(x^2=2y^2\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

A. अधूरा है; पहले (x) सम और (x=2r) सिद्ध करना होगाIt is incomplete; first (x) even and (x=2r) must be proved

Step 1

Concept

\(x^2=2y^2\) does not directly give (y) even. After putting (x=2r), \(y^2=2r^2\) is obtained.

Step 2

Why this answer is correct

The correct answer is A. अधूरा है; पहले (x) सम और (x=2r) सिद्ध करना होगा / It is incomplete; first (x) even and (x=2r) must be proved. \(x^2=2y^2\) does not directly give (y) even. After putting (x=2r), \(y^2=2r^2\) is obtained.

Step 3

Exam Tip

\(x^2=2y^2\) से सीधे (y) सम नहीं निकलता। (x=2r) रखने के बाद \(y^2=2r^2\) मिलता है।

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Mathematics Answer, Explanation and Revision Hints

\(\sqrt{2}\) के प्रमाण में \(x^2=2y^2\) से सीधे (y) सम लिखने का मूल्यांकन क्या है? / In the proof of \(\sqrt{2}\), what is the evaluation of directly writing (y) is even from \(x^2=2y^2\)?

Correct Answer: A. अधूरा है; पहले (x) सम और (x=2r) सिद्ध करना होगा / It is incomplete; first (x) even and (x=2r) must be proved. Explanation: \(x^2=2y^2\) से सीधे (y) सम नहीं निकलता। (x=2r) रखने के बाद \(y^2=2r^2\) मिलता है। / \(x^2=2y^2\) does not directly give (y) even. After putting (x=2r), \(y^2=2r^2\) is obtained.

Which concept should I revise for this Mathematics MCQ?

\(x^2=2y^2\) does not directly give (y) even. After putting (x=2r), \(y^2=2r^2\) is obtained.

What exam hint can help solve this Mathematics question?

\(x^2=2y^2\) से सीधे (y) सम नहीं निकलता। (x=2r) रखने के बाद \(y^2=2r^2\) मिलता है।